A complete renormalization group trajectory between two fixed points

  • Abdelmalek Abdesselam (Université Paris 13, Paris, France)
G3 10 (Lecture hall)


We will report our recent rigorous non-perturbative construction of a massless discrete trajectory for Wilson's exact renormalization group: we do not use hierarchical approximations. The model is a three dimensional Euclidean field theory with a modified free propagator. The trajectory realizes the mean field to critical crossover from the ultraviolet Gaussian fixed point to an analogy recently constructed by Brydges, Mitter and Scoppola of the Wilson-Fisher nontrivial fixed point.

Katja Bieling

Stefan Adams

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Manfred Salmhofer

Universität Leipzig